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Finding the Third Proportional to 533,587.50 and 816,115.50

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Solution

The third proportional to 533,587.50 and 816,115.50 is: 1,248,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,587.50 : 816,115.50 = 816,115.50 : x
  2. Step 2: Convert to fraction form
    533,587.50/816,115.50 = 816,115.50/x
  3. Step 3: Cross multiply
    533,587.50x = 816,115.50 × 816,115.50
  4. Step 4: Simplify right side
    533,587.50x = 666,044,509,340.25
  5. Step 5: Solve for x
    x = 666,044,509,340.25/533,587.50
  6. Step 6: Final answer
    x = 1,248,238.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.